Use factors, leading coefficients, zeros, multiplicity and end behavior to understand graphs.
Subject to changeOptional future study. This unit is outside the current course sequence. Its lessons and homework previews are unassigned and may change.
Key word · Unit 7MultiplicityHow many times the same zero appears as a factor.Exactly:A zero has multiplicity when divides the polynomial but does not.Mix-up alert:Even multiplicity touches the axis; odd multiplicity crosses it.See this in Key words
Key word · Unit 7PolynomialA sum of terms with nonnegative whole-number powers of the variable.Exactly:A finite sum of terms , with nonnegative integer exponents and real coefficients .Mix-up alert:A variable in a denominator or a negative power of x does not make a polynomial.See this in Key words
Key word · Unit 7Leading coefficientThe coefficient on the highest-power nonzero term.Exactly:For a nonzero polynomial in descending degree order, the coefficient of its highest-degree term.Mix-up alert:Use the highest degree, not the first term as originally written.See this in Key words
